Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis and (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis.
Use exact numbers.
y-9=y−9=y, minus, 9, equals

Answers

Answer 1

Answer:

[tex]y-9=17(x+7)[/tex]

Step-by-step explanation:

Hi there!

What we know:

The line goes through the points (-8,-8) and (-7,9)We need to write the equation of the line in point-slope form

What we need to know:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that the line passes throughWe're given "[tex]y-9=[/tex]", which is the "[tex]y-y_1[/tex]" part of the point-slope form equation. This means that [tex](x_1,y_1)[/tex] is [tex](-7,9)[/tex] and we only need to solve for m.

Our equation so far (plugging in the point (-7,9):

[tex]y-9=m(x-(-7))[/tex]

[tex]y-9=m(x+7)[/tex]

Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-8,-8) and (-7,9)

[tex]=\frac{-8-9}{-8-(-7)}\\=\frac{-8-9}{-8+7}\\=\frac{-17}{-1}\\= 17[/tex]

Therefore, the slope of the line is 17. Plug this into [tex]y-9=m(x+7)[/tex]:

[tex]y-9=17(x+7)[/tex]

I hope this helps!


Related Questions

need help asapppp!!! plz i will give brainliest to the person with the correct answer

Answers

Answer:

Multiply x by 4 and make x negative if it's positive or make x positive if it's negative.

Step-by-step explanation:

Multiplying x by a number greater than 1 will stretch the parabola.

Changing x from positive to negative and vice versa reflects the parabola over the x-axis.

the eqashion -4 x <-2

Answers

Answer:

8  

Step-by-step explanation:

A debt payment of $5,500 is due in 27 months. If money is
worth 8.4% p.a. compounded quarterly, what is the equivalent
payment? Now? 15 months? 27 months? 36 months?

Answers

Step-by-step explanation:

A=P(1+0.084) ^n;

=5500(1

The payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.

Interest rate = 8.4/4 =2.1% = 0.021 every 3 months

The debt of $5500 is due in 27 months.

What is the formula to find compound interest?

The formula to find the compound interest is  [tex]FV=PV(1+r)^{n}[/tex].

Now, [tex]PV=FV(1+r)^{-n}[/tex].

The payment now:

5500*(1.021)^-9 = $4561.7450

So if $5500 is due in 27 months its current value is $4561.7450.

( b) 15 months from now? 5 quarters  

FV(15months)= 4561.75*1.021^5

4561.75*1.021^5 = $5061.28

(c) 27 months from now? 9 quarters

FV(15 months)= $5500  that was given in the question

Verification:

FV(27months)=4561.75*1.021^9

4561.75*1.021^9 = $5500.00595

(d) 36 months from now?   12 quarters

FV(36months)=4561.75*1.021^12

4561.75*1.021^12 = $5853.83

Therefore, the payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.

To learn more about compound interest visit:

https://brainly.com/question/14295570.

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URGENT PLS HELP!!!
divide £4500 in the ratio 3:7

Answers

Answer:

£1350 & £3150

Step-by-step explanation:

[tex]3x+7x=4500\\10x=4500\\x=450\\\\3(450)=1350\\7(450)=3150[/tex]

pleaseee fast help me......................prove that the valueof x obtained by sloving 7^x+1/7^x=49*1/49 also satisfy 2^x-2^2=2^-2-2^-x​

Answers

W)g/!5hwkbzhskqbiqndod

I need fast

How many pieces ,each of length 3 ¾ m can be cut from a rope of length 30m?​

Answers

Answer:

8

Step-by-step explanation:

Divide 30 by 3.75 to get 8.

Hope that this helps!

Help,anyone can help me do quetion​

Answers

Answer:

B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle

What is the angle e in the triangle below? (Hint: Use an inverse trigonometric
function.)
A. 22.00
B. 45.30
C. 0.38
D. 68.00

Answers

Answer:

A

Step-by-step explanation:

sin θ=3/8

θ=sin ^{-1}(3/8)

≈22.02 °

Answer:

About 22 degrees

Step-by-step explanation:

Since we are given the opposite side measurement to the angle we wish to find and the hypotenuse measurement, we will want to use sine.

sin(theta)=3/8

theta=arcsin(3/8)

theta=22.024 approximately

65• 45• work out the size of angle

Answers

Answer:

x = 70

Step-by-step explanation:

The sum of the angles of a triangle add to 180

65+45+x = 180

Combine like terms

110+x = 180

Subtract 110 from each side

x = 180-110

x = 70

On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12

Answers

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64


Find the circumference for the following circle. use 22/7 for pi.
A.86.6 m
B.33 m
C.8.4 m
D.16.5 m

Answers

Answer:

D.16.5m

because circumference=21/7×5.25

=16.5m

Find all the missing elements:
40°
120°
8
C = [?]º a = [ ] c = [ ]

Answers

Answer:

C=20° a=10.8 c= 4.3

Step-by-step explanation:

first we need to find the value of angle C by subtracting the sum of angle A and B from 180°.

to find c and a we need to use sin rule which states that sinB/b=sinA/a=sinC/c respectively

Brainliest! How can I solve this?

Answers

The parabola with the vertex is (-4,2)

6/120 is close to 0, 1/2 or 1

Answers

Answer:

0

Step-by-step explanation:

duh

If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab

Answers

Answer:

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Step-by-step explanation:

Point P:

The coordinates of point P are (x,y).

AP=3/7 AB

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

We apply this both for coordinate x and coordinate y.

Coordinate x:

[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]

[tex]x + 2 = \frac{12}{7}[/tex]

[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]

Coordinate y:

[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]

[tex]y + 2 = -\frac{6}{7}[/tex]

[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

In a recent survey,5 out of every 11 dentists recommend fluoride. If there are 690 dentists surveyed, how many are recommend fluoride?

Answers

Answer:

314

Step-by-step explanation:

Please help test tomorrow everything you need is in the photo below

Answers

Answer:

yes

Step-by-step explanation:

help me pleaseee asap

Answers

Answer:

I think the answer is the blue box

Find the area of the shaded region

Answers

Answer:

Area of the shades region = 244.6 ft²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle ABCD- Area of the right angle triangle DEC

Area of the rectangle = Length × width

                                    = 29.8 × 13

                                    = 387.4 ft²

By applying Pythagoras theorem in the right triangle DEC,

(Hypotenuse)² = (leg 1)² + (leg 2)²

CD² = DE² + EC²

(29.8)² = DE² + (28)²

888.04 = DE² + 784

DE² = 888.04 - 784

DE = 10.2 ft

Area of ΔDEC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(10.2)(28)[/tex]

                        = 142.8 ft²

Area of the shades region = 387.4 - 142.8

                                             = 244.6 ft²

In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.

Answers

Answer:

Step-by-step explanation:

First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.

Total Students = 3 + 12 + 2 + 7 = 24 students

Probabilities:

does not have a sister = [tex]\frac{2 + 7}{24}[/tex] = 0.375 or 37.5%  (multiply decimal by 100 to get percentage.

Has a brother = [tex]\frac{3 + 2}{24}[/tex] = 0.208 or 20.8%

Does not have a brother = [tex]\frac{12 + 7}{24}[/tex] = 0.7916 or 79.2%

Has a sister = [tex]\frac{3 + 12}{24}[/tex] = 0.625 or 62.5%

Which of the following is not a possible value for a probability? (A p e x)

A. 0.001

B. 1/16

C. 0.82

D. 5/4

Answers

Answer is D

Explanation: step by step process

Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 4.5 inches. How many miles do they have to drive if the map scale is 1 in. = 40 mi?

A. 10 miles

B. 220 miles

C. 1/10 miles

D. 180 miles

Answers

Answer:

d 180 miles

Step-by-step explanation:

4.5×40= 180 miles

The actual distance to college Lisa and Susan going together is 180 miles.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The map scale is 1 in. = 40 mi.

Lisa and Susan are driving to college together, On the map, Lisa measures the distance to be 4.5 inches.

Therefore,

The actual distance to college is,

= (4.5×40) miles.

= 180 miles.

learn more about scale factors here :

https://brainly.com/question/30215119

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HELP PLEASE!!!! SHOW WORK!!!
7) Kristof wants to build a new rectangular pen for Sven to live in. Kristof measures and finds that the width of the fence is 3x + 4. He also knows that he wants the length of the fence to be 4 times the width.

a) Create an expression that could be used to find the perimeter of the fence.
b) If Kristof knows that the perimeter of the fence is 280 feet, what is the length and width of the fence?

Answers

bla bbbksnsjisjsjabhis sibelius

Answer: 5

Step-by-step explanation:

Find the equation of a line with slope - 5 passing through the point A(-3, 6).

Answers

Answer:

y=5x-9

Step-by-step explanation:

-5(-3)+b=6

15+b=6

B=-9

\ 4 people are going to a dinner party. Each person at the party will eat 56 pound of salad. If you can only buy whole pounds of salad, how many pounds should you buy?

Answers

Answer:

224 pounds

step by step :

one person eat 56 pound and we have four person so we must say that :

56 × 4 = 224 pounds

Write in slope-intercept form an equation of the line that passes through the points (-3, 2) and (1, -10).

Answers

Answer: y=-3x-7

Explanation: In the form y=mx+b, m is the slope and b is the y-intercept. To find the slope given 2 points, you can use the method: (y2-y1)/(x2-x1). When you substitute the points into this formula, it becomes:

(2-(-10))/((-3)-1)
=12/-4
=-3
m=-3

Now that you have the value of m, your equation becomes: y=-3x+b. All you need to do now is find b. To do so, you can choose either one of the points to substitute into your equation. I’ll use the first point as an example:

2=-3(-3)+b
2=9+b
b=-7

Now that you have the value of b, you can write in the final equation: y=-3x-7.

Hope that helps シ

Please help me with this asap.

Answers

Answer:

80

Step-by-step explanation:

10*8=80

Answer:

Step-by-step explanation:

to find height use pythagoras theorem

height be x

a^2+b^2=c^2

x^2+8^2=10^2

x^2+64=100

xx^2=100-64

x^2=36

x=[tex]\sqrt{36[/tex]

x=6

area of the triangle =base*height/2

=8*6/2

=48/2

=24 square units.

WWhat is the difference of the polynomials?

(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)hat is the difference of the polynomials?

Answers

Expand the brackets
-2x3y2 + 4x2y3 - 3xy4 - 6x4y + 5x2y3 + y5
Collect like terms and arrange in order of powers
-6x4y - 2x3y2 + 9x2y3 - 3xy4 + y5

Surface area.. please answer

Answers

160, I think. SA=2(lw+lh+wh).

[tex] \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}[/tex]

Given terms :

[tex]\hookrightarrow \: length = 8 \: in[/tex]

[tex]\hookrightarrow \: width = 2 \: in[/tex]

[tex] \hookrightarrow \: height = 12 \: in[/tex]

we know,

[tex] \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}[/tex]

[tex]\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}[/tex]

[tex]\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr][/tex]

[tex]\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ][/tex]

[tex]\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}[/tex]

____________________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Someone plz help me!

Answers

Answer:

56.25 cm

Step-by-step explanation:

your teacher wrote the approach already : the law of sines.

in our example we have

sin(28)/27 = sin(102)/c

c×sin(28)/27 = sin(102)

c×sin(28) = 27×sin(102)

c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm

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